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

\(\frac{9}{11}\)< \(\frac{13}{15}\)
\(\frac{19}{15}\)< \(\frac{15}{11}\)

Ta thấy: \(\frac{11}{10}>1;\frac{10}{11}< 1\)
\(\Rightarrow\frac{11}{10}>\frac{10}{11}\)



\(\frac{39}{38}>\frac{93}{94}\)
\(\frac{43}{49}< \frac{93}{94}\)

a) 896 × 23 = 896 × (20 + 3)
= 896 × 20 + 896 × 3
= 17920 + 2688
= 20608
896 × 23 = 896 × (24 – 1 )
= 896 × 24 – 896 × 1
= 211504 – 896
= 20608
b) 547 × 38 = 547 × (30 + 8)
= 547 × 30 + 547 × 8
= 20786
547 × 38 = 547 × (39 – 1)
= 547 × 39 - 547 × 1
= 21333 – 547
= 20786

so sáng qua phân số trung gian: \(\dfrac{47}{73}\)
có
\(\dfrac{47}{70}>\dfrac{47}{73}\)
\(\dfrac{39}{73}< \dfrac{47}{73}\)
\(=>\dfrac{47}{70}>\dfrac{39}{73}\)
38/39 < 39/40
Ta có:
\(\frac{38}{39}=\frac{39}{39}-\frac{1}{39}=1-\frac{1}{39}\)
\(\frac{39}{40}=\frac{40}{40}-\frac{1}{40}=1-\frac{1}{40}\)
Vì \(\frac{1}{39}>\frac{1}{40}\)
=> \(1-\frac{1}{39}< 1-\frac{1}{40}\)
hay \(\frac{38}{39}< \frac{39}{40}\)